Step-by-step explanation:
The Answer for the above question is
The four integers are 1,2,5,10. And Sum of the four integers is 18 .
<u>Method : </u>
Product of four different positive integers is 100 .
<u>First</u> of all lets break the number "100"
⇒ 100 = 50*2
⇒ 100 = 25 * 2 * 2
⇒ 100 = 5 * 5 * 2 * 2
But here we get the same integers 2 and 5 and we want different positive integers . So hereby merge 5 * 2 which is 10.
Let's get to the possible combination -
After merging 5*2 = 10 we get the answer as -
⇒ 100 = 1 * 2 * 5 * 10
Here, we have 1, 2, 5, 10. these are the positive integers whose product gives 100 .
Sum of these products is -
⇒ Sum = 1 + 2 + 5 + 10
⇒ Sum = 18 .
Sum of these four Integers is 18.
0.3 x 103 = 30.9
0.3 x 1025 = 307.5
3 x 10^5 = 300,000
Answer/Step-by-step explanation:
a. Using two points on the line (0, 2) and (4, 12), find the gradient:
Gradient = ∆y/∆x = (12 - 2) / (4 - 0) = 10/4 = 2.5
Gradient = 2.5
b. The gradient, 2.5, represents the unit rate. That is, the volume of the oil in the tank per second.
i.e. 2.5 litres per second
c. The value, L = 2 represents the y-intercept, which is the starting value or initial volume of oil in the tank at 0 secs.
Answer:
- movie: $3.75
- video game: $5.75
Step-by-step explanation:
Two equations in two unknowns can be written:
3m +5v = 40
9m +7v = 74
These can be solved a variety of ways. One of them is using Cramer's rule. It tells you the solution to
is given by ...
- ∆ = bd -ea
- x = (bf -ec)/∆
- y = (cd -fa)/∆
For the numbers above,
- ∆ = 5·9 -7·3 = 24
- m = (5·74 -7·40)/24 = 90/24 = 3.75
- v = (40·9 -74·3)/24 = 138/24 = 5.75
The rental cost for each movie is $3.75; for each video game, it is $5.75.
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The attached graph shows a graphing calculator solution to these equations.
